%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:31 PM UTC 2026
% Result : Unsatisfiable 2.91s 1.22s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 2 def)
% Number of atoms : 51 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3326,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f3350,negated_conjecture,
( v_K != v_K_H
| c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3351,negated_conjecture,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| v_K = v_K_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3353,definition,
( spl0_1
<=> v_K = v_K_H ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3354,plain,
( v_K = v_K_H
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f3356,definition,
( spl0_2
<=> c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3357,plain,
( c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f3358,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3351,f3356,f3353]) ).
fof(f3359,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K_H)
| spl0_2 ),
inference(avatar_component_clause,[],[f3356]) ).
fof(f3360,plain,
( v_K != v_K_H
| spl0_1 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f3361,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f3350,f3353,f3356]) ).
fof(f3362,plain,
( v_K_H = c_Message_OinvKey(c_Message_OinvKey(v_K))
| ~ spl0_2 ),
inference(superposition,[],[f3326,f3357]) ).
fof(f3364,plain,
( v_K != c_Message_OinvKey(c_Message_OinvKey(v_K))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3360,f3362]) ).
fof(f3365,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3364,f3326]) ).
fof(f3366,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f3365]) ).
fof(f3367,plain,
( c_Message_OinvKey(v_K) != c_Message_OinvKey(v_K)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f3359,f3354]) ).
fof(f3368,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(trivial_inequality_removal,[],[f3367]) ).
fof(f3369,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f3368]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3358]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3361]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3366]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3369]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f3370,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV253-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 10:21:22 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/1.22 % (254959)Input is clausal, will run a generic CNF schedule.
% 2.91/1.22 % (254968)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1938890791:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.22 % (254968)First to succeed.
% 2.91/1.22 % (254968)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-254959"
% 2.91/1.22 % (254966)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1580936694:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.22 % (254965)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1641379490:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.22 % (254970)dis-21_1_sil=8000:lcm=predicate:random_seed=3727847279:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.91/1.22 % (254967)lrs+10_1_sil=8000:sp=occurrence:random_seed=2465084292:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.22 % (254964)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4079135704:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.22 % (254967)Also succeeded, but the first one will report.
% 2.91/1.22 % (254969)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1731369260:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.22 % (254969)Also succeeded, but the first one will report.
% 2.91/1.22 % (254970)Instruction limit reached!
% 2.91/1.22 % (254970)------------------------------
% 2.91/1.22 % (254970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.22 % (254970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.22 % (254970)CaDiCaL version: 2.1.3
% 2.91/1.22 % (254970)Termination reason: Instruction limit
% 2.91/1.22 % (254970)Termination phase: Saturation
% 2.91/1.22 % (254970)Time elapsed: 0.064 s
% 2.91/1.22 % (254970)Peak memory usage: 90 MB
% 2.91/1.22 % (254970)Instructions burned: 117 (million)
% 2.91/1.22 % (254968)Refutation found. Thanks to Tanya!
% 2.91/1.22 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.22 % (254968)------------------------------
% 2.91/1.22 % (254968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.22 % (254968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.22 % (254968)CaDiCaL version: 2.1.3
% 2.91/1.22 % (254968)Termination reason: Refutation
% 2.91/1.22 % (254968)Time elapsed: 0.005 s
% 2.91/1.22 % (254968)Peak memory usage: 91 MB
% 2.91/1.22 % (254968)Instructions burned: 11 (million)
% 2.91/1.22 % (254968)------------------------------
% 2.91/1.22 % (254968)------------------------------
% 2.91/1.22 % (254959)Success in time 0.384 s
% 2.91/1.22 % Vampire exiting
%------------------------------------------------------------------------------